Q:

In the following equations, let x=−3 and y=2/3. Determine whether the following equations are true, false, or neither true nor false.7. xy =−28. x+3y=−19. x+z=410. 9y=−2xx11. y/x=−2

Accepted Solution

A:
Answer:(7) True(8) true(9) Neither true nor false(10) False(11) FalseStep-by-step explanation:We have given x = -3 and [tex]y=\frac{2}{3}[/tex]We have to find that the expression given bellow is true or false(7) xy= -2So [tex]-3\times \frac{2}{3}=-2[/tex]Hence it is true (8) [tex]x+3y=-1[/tex][tex]-3+3\times \frac{2}{3}=-3+2=-1[/tex]Hence it is true (9) x+z = 4We have not given value of z so we can say that it is true or falseSo it is neither true nor false(10) [tex]9y=-2x^2[/tex]So [tex]9\times \frac{2}{3}=-2\times (-3)^2[/tex][tex]6=-18[/tex]Hence it is not true (11) [tex]\frac{y}{x}=-2[/tex][tex]\frac{y}{x}=\frac{\frac{2}{3}}{-3}=\frac{-2}{9}[/tex]Hence it is false